Results 31 to 40 of about 3,545,090 (308)

A Dilation Invariance Method and the Stability of Inhomogeneous Wave Equations

Mathematics, 2019
We apply the method of a kind of dilation invariance to prove the generalized Hyers-Ulam stability of the (inhomogeneous) wave equation with a source, u t t ( x , t ) − c 2 ▵ u ( x , t ) = f ( x , t ) , for a class of real-valued
Ginkyu Choi, Soon-Mo Jung
doaj   +1 more source

Two-body decays in deformed relativity

Journal of High Energy Physics, 2022
Deformed relativistic kinematics is a framework which captures effects, that are expected from particles and fields propagating on a quantum spacetime, effectively.
Iarley P. Lobo, Christian Pfeifer, Pedro H. Morais, Rafael Alves Batista, Valdir B. Bezerra   +4 more
doaj   +1 more source

Efficient Nyström-type method for the solution of highly oscillatory Volterra integral equations of the second kind.

PLoS ONE, 2023
Highly oscillatory Volterra integral equations are frequently encountered in engineering applications. The Nyström-type method is an important numerical approach for solving such problems.
Qinghua Wu, Mengjun Sun
doaj   +1 more source

Dilations of Γ-contractions by solving operator equations

Advances in Mathematics, 2012
Advances in Mathematics, 230 (2012), 577 ...
Bhattacharyya, Tirthankar, Pal, Sourav, Roy, Subrata Shyam   +2 more
openaire   +4 more sources

Variational Methods for Atoms and the Virial Theorem

Atoms, 2022
In the case of the one-electron Dirac equation with a point nucleus, the virial theorem (VT) states that the ratio of the kinetic energy to potential energy is exactly −1, a ratio that can be an independent test of the accuracy of a computed solution ...
Charlotte Froese Fischer, Michel Godefroid   +1 more
doaj   +1 more source

Time dilation of a bound half-fluxon pair in a long Josephson junction with a ferromagnetic insulator [PDF]

, 2007
The fluxon dynamics in a long Josephson junction with a ferromagnetic insulating layer is investigated. It is found that the Josephson phase obeys a double sine-Gordon equation involving a bound pi fluxon solution, and the internal oscillations of the ...
Fujii, Toshiyuki, Hatakenaka, Noriyuki, Murata, Kyoko, Nishida, Munehiro   +3 more
core   +1 more source

Interference of Clocks: A Quantum Twin Paradox [PDF]

, 2019
The phase of matter waves depends on proper time and is therefore susceptible to special-relativistic (kinematic) and gravitational time dilation (redshift).
Abend, Sven, Di Pumpo, Fabio, Ertmer, Wolfgang, Friedrich, Alexander, Gaaloul, Naceur, Giese, Enno, Kleinert, Stephan, Loriani, Sina, Meiners, Christian, Rasel, Ernst M., Roura, Albert, Schleich, Wolfgang P., Schlippert, Dennis, Schubert, Christian, Tell, Dorothee, Ufrecht, Christian, Wodey, Étienne, Zych, Magdalena   +17 more
core   +3 more sources

Refinement equations for generalized translations

International Journal of Mathematics and Mathematical Sciences, 2004
We study refinement equations which relate the dilation of a function with generalized translates of the function, consisting of convolutions against certain kernels including Cauchy and Gaussian densities; solutions are expressed in terms of solutions ...
W. Christopher Lang
doaj   +1 more source

Microstructural anisotropy as the origin of dilatancy [PDF]

EPJ Web of Conferences
Dilation in sheared granular materials has been widely observed, yet its micromechanical origins remain debated. Using discrete element method (DEM) simulations of slow granular flows, we find that grain rearrangements occur intermittently, alternating ...
Gautam Ravi, Nott Prabhu R.
doaj   +1 more source

Computational modeling of acute myocardial infarction [PDF]

, 2016
This is an Accepted Manuscript of an article published by Taylor & Francis Group in Computer Methods in Biomechanics and Biomedical Engineering on October, 2016, available online at: http://www.tandfonline.com/10.1080/10255842.2015.1105965Myocardial ...
Kuhl, E., Sáez Viñas, Pablo
core   +2 more sources